IB Math Methods
Project #1
Mathematical Modeling
Purpose: To find mathematical models which describe the changes in volume and height of water filling a glass container as functions of time.
Instructions:
Time(Sec.) |
0 |
10 |
15 |
20 |
25 |
30 |
Height (cm) |
||||||
Vol.(ml) |
b) Determine polynomial functions that relates volume with time , and another that relates Height with time.
c) Graph your functions from part (b).
d) From the graphs of part (c), estimate the volume at 30 seconds and the height at 30 seconds
Estimated Height at 30 seconds:____________
Estimated Volume at 30 seconds:___________
e) Calculate the % change in volume and height (refer to the table and part (d))
f) How effective is your mathematical model? Explain possible limitations.